Properties

Label 570.2.s.b.221.6
Level $570$
Weight $2$
Character 570.221
Analytic conductor $4.551$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 221.6
Character \(\chi\) \(=\) 570.221
Dual form 570.2.s.b.521.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(0.130029 - 1.72716i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.866025 - 0.500000i) q^{5} +(1.56078 - 0.750973i) q^{6} -4.16200 q^{7} -1.00000 q^{8} +(-2.96618 - 0.449163i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(0.130029 - 1.72716i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.866025 - 0.500000i) q^{5} +(1.56078 - 0.750973i) q^{6} -4.16200 q^{7} -1.00000 q^{8} +(-2.96618 - 0.449163i) q^{9} +(0.866025 + 0.500000i) q^{10} -2.96621i q^{11} +(1.43075 + 0.976190i) q^{12} +(-5.88671 - 3.39869i) q^{13} +(-2.08100 - 3.60440i) q^{14} +(-0.750973 - 1.56078i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.56047 - 0.900937i) q^{17} +(-1.09411 - 2.79337i) q^{18} +(0.334315 + 4.34606i) q^{19} +1.00000i q^{20} +(-0.541182 + 7.18845i) q^{21} +(2.56881 - 1.48311i) q^{22} +(-0.309948 - 0.178948i) q^{23} +(-0.130029 + 1.72716i) q^{24} +(0.500000 - 0.866025i) q^{25} -6.79738i q^{26} +(-1.16147 + 5.06468i) q^{27} +(2.08100 - 3.60440i) q^{28} +(3.63882 - 6.30262i) q^{29} +(0.976190 - 1.43075i) q^{30} -3.56783i q^{31} +(0.500000 - 0.866025i) q^{32} +(-5.12313 - 0.385694i) q^{33} +(1.56047 + 0.900937i) q^{34} +(-3.60440 + 2.08100i) q^{35} +(1.87208 - 2.34421i) q^{36} +6.14614i q^{37} +(-3.59664 + 2.46256i) q^{38} +(-6.63554 + 9.72537i) q^{39} +(-0.866025 + 0.500000i) q^{40} +(3.81541 + 6.60849i) q^{41} +(-6.49598 + 3.12555i) q^{42} +(-5.13659 - 8.89683i) q^{43} +(2.56881 + 1.48311i) q^{44} +(-2.79337 + 1.09411i) q^{45} -0.357897i q^{46} +(-4.46767 - 2.57941i) q^{47} +(-1.56078 + 0.750973i) q^{48} +10.3223 q^{49} +1.00000 q^{50} +(-1.35316 - 2.81233i) q^{51} +(5.88671 - 3.39869i) q^{52} +(1.75415 - 3.03828i) q^{53} +(-4.96688 + 1.52648i) q^{54} +(-1.48311 - 2.56881i) q^{55} +4.16200 q^{56} +(7.54982 - 0.0123016i) q^{57} +7.27764 q^{58} +(-4.38575 - 7.59635i) q^{59} +(1.72716 + 0.130029i) q^{60} +(1.88869 - 3.27131i) q^{61} +(3.08983 - 1.78392i) q^{62} +(12.3453 + 1.86942i) q^{63} +1.00000 q^{64} -6.79738 q^{65} +(-2.22754 - 4.62961i) q^{66} +(0.922310 + 0.532496i) q^{67} +1.80187i q^{68} +(-0.349376 + 0.512062i) q^{69} +(-3.60440 - 2.08100i) q^{70} +(-2.05789 - 3.56436i) q^{71} +(2.96618 + 0.449163i) q^{72} +(6.64377 + 11.5074i) q^{73} +(-5.32272 + 3.07307i) q^{74} +(-1.43075 - 0.976190i) q^{75} +(-3.93096 - 1.88350i) q^{76} +12.3454i q^{77} +(-11.7402 - 0.883859i) q^{78} +(1.10542 - 0.638217i) q^{79} +(-0.866025 - 0.500000i) q^{80} +(8.59650 + 2.66460i) q^{81} +(-3.81541 + 6.60849i) q^{82} +1.93377i q^{83} +(-5.95479 - 4.06290i) q^{84} +(0.900937 - 1.56047i) q^{85} +(5.13659 - 8.89683i) q^{86} +(-10.4125 - 7.10436i) q^{87} +2.96621i q^{88} +(2.94818 - 5.10639i) q^{89} +(-2.34421 - 1.87208i) q^{90} +(24.5005 + 14.1454i) q^{91} +(0.309948 - 0.178948i) q^{92} +(-6.16223 - 0.463923i) q^{93} -5.15882i q^{94} +(2.46256 + 3.59664i) q^{95} +(-1.43075 - 0.976190i) q^{96} +(11.2544 - 6.49772i) q^{97} +(5.16113 + 8.93933i) q^{98} +(-1.33231 + 8.79833i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + O(q^{10}) \) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + 2q^{12} + 18q^{13} - 6q^{14} - 12q^{16} - 12q^{17} - 2q^{18} + 6q^{19} + 6q^{21} + 18q^{22} - 2q^{24} + 12q^{25} - 28q^{27} + 6q^{28} + 12q^{32} - 8q^{33} - 12q^{34} - 4q^{36} - 6q^{38} + 40q^{39} - 6q^{41} - 6q^{42} - 22q^{43} + 18q^{44} + 8q^{45} - 12q^{47} - 4q^{48} + 12q^{49} + 24q^{50} - 4q^{51} - 18q^{52} - 8q^{53} - 32q^{54} + 12q^{56} - 20q^{57} - 26q^{59} + 22q^{61} + 18q^{62} + 30q^{63} + 24q^{64} - 8q^{65} - 22q^{66} - 48q^{67} + 64q^{69} - 24q^{71} - 2q^{72} - 8q^{73} - 30q^{74} - 2q^{75} - 12q^{76} + 2q^{78} + 18q^{79} - 6q^{81} + 6q^{82} - 12q^{84} + 22q^{86} - 24q^{87} - 28q^{89} + 16q^{90} + 18q^{91} + 14q^{93} - 2q^{96} + 6q^{97} + 6q^{98} - 52q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) 0.130029 1.72716i 0.0750724 0.997178i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) 1.56078 0.750973i 0.637186 0.306583i
\(7\) −4.16200 −1.57309 −0.786544 0.617534i \(-0.788132\pi\)
−0.786544 + 0.617534i \(0.788132\pi\)
\(8\) −1.00000 −0.353553
\(9\) −2.96618 0.449163i −0.988728 0.149721i
\(10\) 0.866025 + 0.500000i 0.273861 + 0.158114i
\(11\) 2.96621i 0.894346i −0.894447 0.447173i \(-0.852431\pi\)
0.894447 0.447173i \(-0.147569\pi\)
\(12\) 1.43075 + 0.976190i 0.413023 + 0.281802i
\(13\) −5.88671 3.39869i −1.63268 0.942627i −0.983263 0.182194i \(-0.941680\pi\)
−0.649416 0.760433i \(-0.724987\pi\)
\(14\) −2.08100 3.60440i −0.556171 0.963316i
\(15\) −0.750973 1.56078i −0.193900 0.402992i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 1.56047 0.900937i 0.378469 0.218509i −0.298683 0.954352i \(-0.596547\pi\)
0.677152 + 0.735843i \(0.263214\pi\)
\(18\) −1.09411 2.79337i −0.257883 0.658404i
\(19\) 0.334315 + 4.34606i 0.0766971 + 0.997054i
\(20\) 1.00000i 0.223607i
\(21\) −0.541182 + 7.18845i −0.118096 + 1.56865i
\(22\) 2.56881 1.48311i 0.547673 0.316199i
\(23\) −0.309948 0.178948i −0.0646286 0.0373133i 0.467338 0.884079i \(-0.345213\pi\)
−0.531966 + 0.846766i \(0.678547\pi\)
\(24\) −0.130029 + 1.72716i −0.0265421 + 0.352556i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 6.79738i 1.33308i
\(27\) −1.16147 + 5.06468i −0.223525 + 0.974698i
\(28\) 2.08100 3.60440i 0.393272 0.681167i
\(29\) 3.63882 6.30262i 0.675712 1.17037i −0.300548 0.953767i \(-0.597170\pi\)
0.976260 0.216601i \(-0.0694971\pi\)
\(30\) 0.976190 1.43075i 0.178227 0.261218i
\(31\) 3.56783i 0.640802i −0.947282 0.320401i \(-0.896182\pi\)
0.947282 0.320401i \(-0.103818\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) −5.12313 0.385694i −0.891823 0.0671407i
\(34\) 1.56047 + 0.900937i 0.267618 + 0.154509i
\(35\) −3.60440 + 2.08100i −0.609255 + 0.351753i
\(36\) 1.87208 2.34421i 0.312013 0.390702i
\(37\) 6.14614i 1.01042i 0.862997 + 0.505210i \(0.168585\pi\)
−0.862997 + 0.505210i \(0.831415\pi\)
\(38\) −3.59664 + 2.46256i −0.583452 + 0.399479i
\(39\) −6.63554 + 9.72537i −1.06254 + 1.55731i
\(40\) −0.866025 + 0.500000i −0.136931 + 0.0790569i
\(41\) 3.81541 + 6.60849i 0.595867 + 1.03207i 0.993424 + 0.114495i \(0.0365249\pi\)
−0.397557 + 0.917578i \(0.630142\pi\)
\(42\) −6.49598 + 3.12555i −1.00235 + 0.482283i
\(43\) −5.13659 8.89683i −0.783322 1.35675i −0.929996 0.367569i \(-0.880190\pi\)
0.146674 0.989185i \(-0.453143\pi\)
\(44\) 2.56881 + 1.48311i 0.387263 + 0.223587i
\(45\) −2.79337 + 1.09411i −0.416411 + 0.163100i
\(46\) 0.357897i 0.0527690i
\(47\) −4.46767 2.57941i −0.651677 0.376246i 0.137421 0.990513i \(-0.456119\pi\)
−0.789098 + 0.614267i \(0.789452\pi\)
\(48\) −1.56078 + 0.750973i −0.225279 + 0.108394i
\(49\) 10.3223 1.47461
\(50\) 1.00000 0.141421
\(51\) −1.35316 2.81233i −0.189480 0.393805i
\(52\) 5.88671 3.39869i 0.816339 0.471314i
\(53\) 1.75415 3.03828i 0.240951 0.417340i −0.720034 0.693938i \(-0.755874\pi\)
0.960985 + 0.276599i \(0.0892073\pi\)
\(54\) −4.96688 + 1.52648i −0.675906 + 0.207727i
\(55\) −1.48311 2.56881i −0.199982 0.346379i
\(56\) 4.16200 0.556171
\(57\) 7.54982 0.0123016i 0.999999 0.00162939i
\(58\) 7.27764 0.955601
\(59\) −4.38575 7.59635i −0.570976 0.988960i −0.996466 0.0839969i \(-0.973231\pi\)
0.425490 0.904963i \(-0.360102\pi\)
\(60\) 1.72716 + 0.130029i 0.222976 + 0.0167867i
\(61\) 1.88869 3.27131i 0.241822 0.418849i −0.719411 0.694585i \(-0.755588\pi\)
0.961233 + 0.275736i \(0.0889215\pi\)
\(62\) 3.08983 1.78392i 0.392409 0.226558i
\(63\) 12.3453 + 1.86942i 1.55536 + 0.235525i
\(64\) 1.00000 0.125000
\(65\) −6.79738 −0.843112
\(66\) −2.22754 4.62961i −0.274192 0.569865i
\(67\) 0.922310 + 0.532496i 0.112678 + 0.0650548i 0.555280 0.831664i \(-0.312611\pi\)
−0.442602 + 0.896718i \(0.645944\pi\)
\(68\) 1.80187i 0.218509i
\(69\) −0.349376 + 0.512062i −0.0420599 + 0.0616450i
\(70\) −3.60440 2.08100i −0.430808 0.248727i
\(71\) −2.05789 3.56436i −0.244226 0.423012i 0.717688 0.696365i \(-0.245201\pi\)
−0.961914 + 0.273353i \(0.911867\pi\)
\(72\) 2.96618 + 0.449163i 0.349568 + 0.0529344i
\(73\) 6.64377 + 11.5074i 0.777595 + 1.34683i 0.933324 + 0.359034i \(0.116894\pi\)
−0.155729 + 0.987800i \(0.549773\pi\)
\(74\) −5.32272 + 3.07307i −0.618753 + 0.357237i
\(75\) −1.43075 0.976190i −0.165209 0.112721i
\(76\) −3.93096 1.88350i −0.450912 0.216053i
\(77\) 12.3454i 1.40689i
\(78\) −11.7402 0.883859i −1.32931 0.100077i
\(79\) 1.10542 0.638217i 0.124370 0.0718050i −0.436524 0.899692i \(-0.643791\pi\)
0.560894 + 0.827887i \(0.310457\pi\)
\(80\) −0.866025 0.500000i −0.0968246 0.0559017i
\(81\) 8.59650 + 2.66460i 0.955167 + 0.296067i
\(82\) −3.81541 + 6.60849i −0.421342 + 0.729785i
\(83\) 1.93377i 0.212258i 0.994352 + 0.106129i \(0.0338457\pi\)
−0.994352 + 0.106129i \(0.966154\pi\)
\(84\) −5.95479 4.06290i −0.649721 0.443299i
\(85\) 0.900937 1.56047i 0.0977203 0.169257i
\(86\) 5.13659 8.89683i 0.553892 0.959370i
\(87\) −10.4125 7.10436i −1.11634 0.761668i
\(88\) 2.96621i 0.316199i
\(89\) 2.94818 5.10639i 0.312506 0.541277i −0.666398 0.745596i \(-0.732165\pi\)
0.978904 + 0.204320i \(0.0654982\pi\)
\(90\) −2.34421 1.87208i −0.247101 0.197334i
\(91\) 24.5005 + 14.1454i 2.56835 + 1.48284i
\(92\) 0.309948 0.178948i 0.0323143 0.0186567i
\(93\) −6.16223 0.463923i −0.638993 0.0481065i
\(94\) 5.15882i 0.532092i
\(95\) 2.46256 + 3.59664i 0.252653 + 0.369008i
\(96\) −1.43075 0.976190i −0.146026 0.0996320i
\(97\) 11.2544 6.49772i 1.14271 0.659744i 0.195610 0.980682i \(-0.437331\pi\)
0.947100 + 0.320938i \(0.103998\pi\)
\(98\) 5.16113 + 8.93933i 0.521353 + 0.903009i
\(99\) −1.33231 + 8.79833i −0.133903 + 0.884265i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) 3.25224 + 1.87768i 0.323610 + 0.186836i 0.653001 0.757357i \(-0.273510\pi\)
−0.329391 + 0.944194i \(0.606843\pi\)
\(102\) 1.75897 2.57804i 0.174164 0.255264i
\(103\) 2.57242i 0.253468i −0.991937 0.126734i \(-0.959551\pi\)
0.991937 0.126734i \(-0.0404494\pi\)
\(104\) 5.88671 + 3.39869i 0.577239 + 0.333269i
\(105\) 3.12555 + 6.49598i 0.305022 + 0.633942i
\(106\) 3.50830 0.340756
\(107\) −11.8795 −1.14844 −0.574218 0.818702i \(-0.694694\pi\)
−0.574218 + 0.818702i \(0.694694\pi\)
\(108\) −3.80541 3.53820i −0.366175 0.340464i
\(109\) −11.1493 + 6.43703i −1.06790 + 0.616555i −0.927608 0.373554i \(-0.878139\pi\)
−0.140297 + 0.990110i \(0.544806\pi\)
\(110\) 1.48311 2.56881i 0.141409 0.244927i
\(111\) 10.6154 + 0.799178i 1.00757 + 0.0758546i
\(112\) 2.08100 + 3.60440i 0.196636 + 0.340584i
\(113\) 3.14768 0.296109 0.148055 0.988979i \(-0.452699\pi\)
0.148055 + 0.988979i \(0.452699\pi\)
\(114\) 3.78557 + 6.53219i 0.354551 + 0.611796i
\(115\) −0.357897 −0.0333741
\(116\) 3.63882 + 6.30262i 0.337856 + 0.585184i
\(117\) 15.9345 + 12.7252i 1.47314 + 1.17645i
\(118\) 4.38575 7.59635i 0.403741 0.699300i
\(119\) −6.49467 + 3.74970i −0.595366 + 0.343734i
\(120\) 0.750973 + 1.56078i 0.0685541 + 0.142479i
\(121\) 2.20159 0.200145
\(122\) 3.77739 0.341989
\(123\) 11.9100 5.73054i 1.07389 0.516706i
\(124\) 3.08983 + 1.78392i 0.277475 + 0.160200i
\(125\) 1.00000i 0.0894427i
\(126\) 4.55367 + 11.6260i 0.405673 + 1.03573i
\(127\) −6.05360 3.49505i −0.537170 0.310135i 0.206761 0.978391i \(-0.433708\pi\)
−0.743931 + 0.668256i \(0.767041\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) −16.0342 + 7.71487i −1.41173 + 0.679257i
\(130\) −3.39869 5.88671i −0.298085 0.516298i
\(131\) −11.7170 + 6.76481i −1.02372 + 0.591044i −0.915179 0.403048i \(-0.867951\pi\)
−0.108540 + 0.994092i \(0.534617\pi\)
\(132\) 2.89559 4.24391i 0.252028 0.369385i
\(133\) −1.39142 18.0883i −0.120651 1.56845i
\(134\) 1.06499i 0.0920013i
\(135\) 1.52648 + 4.96688i 0.131378 + 0.427481i
\(136\) −1.56047 + 0.900937i −0.133809 + 0.0772547i
\(137\) 10.6066 + 6.12370i 0.906180 + 0.523183i 0.879200 0.476453i \(-0.158078\pi\)
0.0269800 + 0.999636i \(0.491411\pi\)
\(138\) −0.618146 0.0465371i −0.0526201 0.00396150i
\(139\) 5.90898 10.2347i 0.501193 0.868092i −0.498806 0.866714i \(-0.666228\pi\)
0.999999 0.00137828i \(-0.000438719\pi\)
\(140\) 4.16200i 0.351753i
\(141\) −5.03599 + 7.38100i −0.424107 + 0.621592i
\(142\) 2.05789 3.56436i 0.172694 0.299115i
\(143\) −10.0812 + 17.4612i −0.843035 + 1.46018i
\(144\) 1.09411 + 2.79337i 0.0911754 + 0.232781i
\(145\) 7.27764i 0.604375i
\(146\) −6.64377 + 11.5074i −0.549843 + 0.952355i
\(147\) 1.34220 17.8282i 0.110702 1.47045i
\(148\) −5.32272 3.07307i −0.437524 0.252605i
\(149\) 6.23444 3.59946i 0.510745 0.294879i −0.222395 0.974957i \(-0.571387\pi\)
0.733140 + 0.680078i \(0.238054\pi\)
\(150\) 0.130029 1.72716i 0.0106168 0.141022i
\(151\) 11.1275i 0.905543i 0.891627 + 0.452772i \(0.149565\pi\)
−0.891627 + 0.452772i \(0.850435\pi\)
\(152\) −0.334315 4.34606i −0.0271165 0.352512i
\(153\) −5.03331 + 1.97144i −0.406919 + 0.159381i
\(154\) −10.6914 + 6.17269i −0.861538 + 0.497409i
\(155\) −1.78392 3.08983i −0.143288 0.248181i
\(156\) −5.10465 10.6092i −0.408699 0.849418i
\(157\) −10.7364 18.5960i −0.856860 1.48412i −0.874909 0.484287i \(-0.839079\pi\)
0.0180496 0.999837i \(-0.494254\pi\)
\(158\) 1.10542 + 0.638217i 0.0879428 + 0.0507738i
\(159\) −5.01951 3.42477i −0.398073 0.271602i
\(160\) 1.00000i 0.0790569i
\(161\) 1.29000 + 0.744784i 0.101667 + 0.0586972i
\(162\) 1.99064 + 8.77709i 0.156399 + 0.689594i
\(163\) −19.4377 −1.52248 −0.761239 0.648471i \(-0.775409\pi\)
−0.761239 + 0.648471i \(0.775409\pi\)
\(164\) −7.63082 −0.595867
\(165\) −4.62961 + 2.22754i −0.360414 + 0.173414i
\(166\) −1.67469 + 0.966883i −0.129981 + 0.0750447i
\(167\) 2.84217 4.92279i 0.219934 0.380937i −0.734854 0.678226i \(-0.762749\pi\)
0.954788 + 0.297289i \(0.0960825\pi\)
\(168\) 0.541182 7.18845i 0.0417531 0.554601i
\(169\) 16.6022 + 28.7559i 1.27709 + 2.21199i
\(170\) 1.80187 0.138197
\(171\) 0.960451 13.0414i 0.0734475 0.997299i
\(172\) 10.2732 0.783322
\(173\) −11.2154 19.4256i −0.852690 1.47690i −0.878772 0.477242i \(-0.841636\pi\)
0.0260821 0.999660i \(-0.491697\pi\)
\(174\) 0.946306 12.5697i 0.0717393 0.952905i
\(175\) −2.08100 + 3.60440i −0.157309 + 0.272467i
\(176\) −2.56881 + 1.48311i −0.193632 + 0.111793i
\(177\) −13.6904 + 6.58716i −1.02903 + 0.495122i
\(178\) 5.89635 0.441950
\(179\) 14.2289 1.06352 0.531758 0.846896i \(-0.321531\pi\)
0.531758 + 0.846896i \(0.321531\pi\)
\(180\) 0.449163 2.96618i 0.0334787 0.221086i
\(181\) 0.0315834 + 0.0182347i 0.00234757 + 0.00135537i 0.501173 0.865347i \(-0.332902\pi\)
−0.498826 + 0.866702i \(0.666235\pi\)
\(182\) 28.2907i 2.09705i
\(183\) −5.40451 3.68745i −0.399513 0.272584i
\(184\) 0.309948 + 0.178948i 0.0228497 + 0.0131923i
\(185\) 3.07307 + 5.32272i 0.225937 + 0.391334i
\(186\) −2.67935 5.56861i −0.196459 0.408310i
\(187\) −2.67237 4.62868i −0.195423 0.338482i
\(188\) 4.46767 2.57941i 0.325839 0.188123i
\(189\) 4.83404 21.0792i 0.351624 1.53329i
\(190\) −1.88350 + 3.93096i −0.136644 + 0.285181i
\(191\) 22.3142i 1.61460i 0.590141 + 0.807300i \(0.299072\pi\)
−0.590141 + 0.807300i \(0.700928\pi\)
\(192\) 0.130029 1.72716i 0.00938405 0.124647i
\(193\) −11.5178 + 6.64983i −0.829072 + 0.478665i −0.853535 0.521036i \(-0.825546\pi\)
0.0244626 + 0.999701i \(0.492213\pi\)
\(194\) 11.2544 + 6.49772i 0.808018 + 0.466509i
\(195\) −0.883859 + 11.7402i −0.0632944 + 0.840732i
\(196\) −5.16113 + 8.93933i −0.368652 + 0.638524i
\(197\) 22.7586i 1.62148i −0.585403 0.810742i \(-0.699064\pi\)
0.585403 0.810742i \(-0.300936\pi\)
\(198\) −8.28573 + 3.24535i −0.588841 + 0.230637i
\(199\) 2.34142 4.05546i 0.165979 0.287484i −0.771023 0.636807i \(-0.780255\pi\)
0.937003 + 0.349323i \(0.113588\pi\)
\(200\) −0.500000 + 0.866025i −0.0353553 + 0.0612372i
\(201\) 1.03964 1.52374i 0.0733302 0.107476i
\(202\) 3.75536i 0.264226i
\(203\) −15.1448 + 26.2315i −1.06295 + 1.84109i
\(204\) 3.11213 + 0.234296i 0.217893 + 0.0164040i
\(205\) 6.60849 + 3.81541i 0.461557 + 0.266480i
\(206\) 2.22778 1.28621i 0.155217 0.0896144i
\(207\) 0.838986 + 0.670012i 0.0583135 + 0.0465690i
\(208\) 6.79738i 0.471314i
\(209\) 12.8913 0.991649i 0.891712 0.0685938i
\(210\) −4.06290 + 5.95479i −0.280367 + 0.410920i
\(211\) −6.72063 + 3.88016i −0.462667 + 0.267121i −0.713165 0.700996i \(-0.752739\pi\)
0.250498 + 0.968117i \(0.419406\pi\)
\(212\) 1.75415 + 3.03828i 0.120476 + 0.208670i
\(213\) −6.42382 + 3.09083i −0.440153 + 0.211780i
\(214\) −5.93976 10.2880i −0.406034 0.703271i
\(215\) −8.89683 5.13659i −0.606759 0.350312i
\(216\) 1.16147 5.06468i 0.0790280 0.344608i
\(217\) 14.8493i 1.00804i
\(218\) −11.1493 6.43703i −0.755123 0.435970i
\(219\) 20.7390 9.97859i 1.40141 0.674291i
\(220\) 2.96621 0.199982
\(221\) −12.2480 −0.823891
\(222\) 4.61559 + 9.59279i 0.309778 + 0.643826i
\(223\) 23.7955 13.7383i 1.59346 0.919987i 0.600758 0.799431i \(-0.294866\pi\)
0.992707 0.120556i \(-0.0384678\pi\)
\(224\) −2.08100 + 3.60440i −0.139043 + 0.240829i
\(225\) −1.87208 + 2.34421i −0.124805 + 0.156281i
\(226\) 1.57384 + 2.72597i 0.104690 + 0.181329i
\(227\) 25.8559 1.71612 0.858059 0.513551i \(-0.171670\pi\)
0.858059 + 0.513551i \(0.171670\pi\)
\(228\) −3.76426 + 6.54449i −0.249294 + 0.433419i
\(229\) 5.60560 0.370428 0.185214 0.982698i \(-0.440702\pi\)
0.185214 + 0.982698i \(0.440702\pi\)
\(230\) −0.178948 0.309948i −0.0117995 0.0204374i
\(231\) 21.3225 + 1.60526i 1.40292 + 0.105618i
\(232\) −3.63882 + 6.30262i −0.238900 + 0.413787i
\(233\) −22.6080 + 13.0528i −1.48110 + 0.855114i −0.999770 0.0214243i \(-0.993180\pi\)
−0.481331 + 0.876539i \(0.659847\pi\)
\(234\) −3.05314 + 20.1623i −0.199590 + 1.31805i
\(235\) −5.15882 −0.336525
\(236\) 8.77151 0.570976
\(237\) −0.958567 1.99223i −0.0622656 0.129409i
\(238\) −6.49467 3.74970i −0.420987 0.243057i
\(239\) 23.9431i 1.54875i −0.632728 0.774374i \(-0.718065\pi\)
0.632728 0.774374i \(-0.281935\pi\)
\(240\) −0.976190 + 1.43075i −0.0630128 + 0.0923547i
\(241\) −7.46928 4.31239i −0.481139 0.277786i 0.239752 0.970834i \(-0.422934\pi\)
−0.720891 + 0.693049i \(0.756267\pi\)
\(242\) 1.10080 + 1.90663i 0.0707619 + 0.122563i
\(243\) 5.72000 14.5011i 0.366938 0.930245i
\(244\) 1.88869 + 3.27131i 0.120911 + 0.209424i
\(245\) 8.93933 5.16113i 0.571113 0.329732i
\(246\) 10.9178 + 7.44913i 0.696095 + 0.474939i
\(247\) 12.8029 26.7202i 0.814629 1.70017i
\(248\) 3.56783i 0.226558i
\(249\) 3.33993 + 0.251446i 0.211659 + 0.0159348i
\(250\) 0.866025 0.500000i 0.0547723 0.0316228i
\(251\) −11.4151 6.59052i −0.720516 0.415990i 0.0944268 0.995532i \(-0.469898\pi\)
−0.814942 + 0.579542i \(0.803231\pi\)
\(252\) −7.79160 + 9.75660i −0.490824 + 0.614608i
\(253\) −0.530799 + 0.919371i −0.0333710 + 0.0578004i
\(254\) 6.99009i 0.438597i
\(255\) −2.57804 1.75897i −0.161443 0.110151i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 13.3200 23.0709i 0.830879 1.43913i −0.0664625 0.997789i \(-0.521171\pi\)
0.897342 0.441336i \(-0.145495\pi\)
\(258\) −14.6984 10.0286i −0.915080 0.624351i
\(259\) 25.5803i 1.58948i
\(260\) 3.39869 5.88671i 0.210778 0.365078i
\(261\) −13.6243 + 17.0603i −0.843324 + 1.05601i
\(262\) −11.7170 6.76481i −0.723878 0.417931i
\(263\) −20.1068 + 11.6087i −1.23984 + 0.715822i −0.969062 0.246819i \(-0.920615\pi\)
−0.270779 + 0.962641i \(0.587281\pi\)
\(264\) 5.12313 + 0.385694i 0.315307 + 0.0237378i
\(265\) 3.50830i 0.215513i
\(266\) 14.9692 10.2492i 0.917822 0.628416i
\(267\) −8.43622 5.75596i −0.516288 0.352259i
\(268\) −0.922310 + 0.532496i −0.0563391 + 0.0325274i
\(269\) −2.52385 4.37144i −0.153882 0.266532i 0.778769 0.627310i \(-0.215844\pi\)
−0.932651 + 0.360779i \(0.882511\pi\)
\(270\) −3.53820 + 3.80541i −0.215328 + 0.231590i
\(271\) 4.52551 + 7.83842i 0.274905 + 0.476150i 0.970111 0.242661i \(-0.0780202\pi\)
−0.695206 + 0.718811i \(0.744687\pi\)
\(272\) −1.56047 0.900937i −0.0946173 0.0546273i
\(273\) 27.6171 40.4770i 1.67146 2.44978i
\(274\) 12.2474i 0.739893i
\(275\) −2.56881 1.48311i −0.154905 0.0894346i
\(276\) −0.268771 0.558599i −0.0161781 0.0336237i
\(277\) −5.33557 −0.320583 −0.160292 0.987070i \(-0.551243\pi\)
−0.160292 + 0.987070i \(0.551243\pi\)
\(278\) 11.8180 0.708794
\(279\) −1.60254 + 10.5829i −0.0959416 + 0.633579i
\(280\) 3.60440 2.08100i 0.215404 0.124364i
\(281\) 6.84949 11.8637i 0.408606 0.707727i −0.586127 0.810219i \(-0.699348\pi\)
0.994734 + 0.102492i \(0.0326816\pi\)
\(282\) −8.91013 0.670798i −0.530591 0.0399455i
\(283\) 0.398146 + 0.689610i 0.0236673 + 0.0409930i 0.877616 0.479363i \(-0.159132\pi\)
−0.853949 + 0.520356i \(0.825799\pi\)
\(284\) 4.11577 0.244226
\(285\) 6.53219 3.78557i 0.386933 0.224238i
\(286\) −20.1625 −1.19223
\(287\) −15.8797 27.5045i −0.937352 1.62354i
\(288\) −1.87208 + 2.34421i −0.110313 + 0.138134i
\(289\) −6.87663 + 11.9107i −0.404507 + 0.700627i
\(290\) 6.30262 3.63882i 0.370103 0.213679i
\(291\) −9.75923 20.2831i −0.572096 1.18901i
\(292\) −13.2875 −0.777595
\(293\) 23.7823 1.38937 0.694687 0.719312i \(-0.255543\pi\)
0.694687 + 0.719312i \(0.255543\pi\)
\(294\) 16.1108 7.75173i 0.939600 0.452090i
\(295\) −7.59635 4.38575i −0.442276 0.255348i
\(296\) 6.14614i 0.357237i
\(297\) 15.0229 + 3.44516i 0.871718 + 0.199909i
\(298\) 6.23444 + 3.59946i 0.361151 + 0.208511i
\(299\) 1.21638 + 2.10683i 0.0703452 + 0.121841i
\(300\) 1.56078 0.750973i 0.0901118 0.0433574i
\(301\) 21.3785 + 37.0286i 1.23223 + 2.13429i
\(302\) −9.63670 + 5.56375i −0.554530 + 0.320158i
\(303\) 3.66595 5.37300i 0.210603 0.308671i
\(304\) 3.59664 2.46256i 0.206281 0.141237i
\(305\) 3.77739i 0.216293i
\(306\) −4.22397 3.37325i −0.241468 0.192836i
\(307\) −7.52401 + 4.34399i −0.429418 + 0.247924i −0.699099 0.715025i \(-0.746415\pi\)
0.269681 + 0.962950i \(0.413082\pi\)
\(308\) −10.6914 6.17269i −0.609199 0.351721i
\(309\) −4.44299 0.334490i −0.252753 0.0190284i
\(310\) 1.78392 3.08983i 0.101320 0.175491i
\(311\) 19.4598i 1.10346i −0.834021 0.551732i \(-0.813967\pi\)
0.834021 0.551732i \(-0.186033\pi\)
\(312\) 6.63554 9.72537i 0.375663 0.550591i
\(313\) −7.02538 + 12.1683i −0.397098 + 0.687793i −0.993366 0.114991i \(-0.963316\pi\)
0.596269 + 0.802785i \(0.296649\pi\)
\(314\) 10.7364 18.5960i 0.605891 1.04943i
\(315\) 11.6260 4.55367i 0.655052 0.256570i
\(316\) 1.27643i 0.0718050i
\(317\) 6.58272 11.4016i 0.369722 0.640378i −0.619800 0.784760i \(-0.712786\pi\)
0.989522 + 0.144382i \(0.0461195\pi\)
\(318\) 0.456182 6.05941i 0.0255814 0.339795i
\(319\) −18.6949 10.7935i −1.04671 0.604321i
\(320\) 0.866025 0.500000i 0.0484123 0.0279508i
\(321\) −1.54468 + 20.5179i −0.0862159 + 1.14520i
\(322\) 1.48957i 0.0830104i
\(323\) 4.43721 + 6.48069i 0.246893 + 0.360595i
\(324\) −6.60587 + 6.11249i −0.366993 + 0.339583i
\(325\) −5.88671 + 3.39869i −0.326536 + 0.188525i
\(326\) −9.71885 16.8335i −0.538278 0.932324i
\(327\) 9.66806 + 20.0936i 0.534645 + 1.11118i
\(328\) −3.81541 6.60849i −0.210671 0.364893i
\(329\) 18.5945 + 10.7355i 1.02515 + 0.591868i
\(330\) −4.24391 2.89559i −0.233620 0.159397i
\(331\) 4.40745i 0.242256i 0.992637 + 0.121128i \(0.0386511\pi\)
−0.992637 + 0.121128i \(0.961349\pi\)
\(332\) −1.67469 0.966883i −0.0919106 0.0530646i
\(333\) 2.76062 18.2306i 0.151281 0.999030i
\(334\) 5.68435 0.311034
\(335\) 1.06499 0.0581868
\(336\) 6.49598 3.12555i 0.354385 0.170513i
\(337\) −4.81309 + 2.77884i −0.262186 + 0.151373i −0.625331 0.780359i \(-0.715036\pi\)
0.363146 + 0.931732i \(0.381703\pi\)
\(338\) −16.6022 + 28.7559i −0.903041 + 1.56411i
\(339\) 0.409291 5.43656i 0.0222296 0.295273i
\(340\) 0.900937 + 1.56047i 0.0488602 + 0.0846283i
\(341\) −10.5829 −0.573099
\(342\) 11.7744 5.68891i 0.636686 0.307621i
\(343\) −13.8272 −0.746600
\(344\) 5.13659 + 8.89683i 0.276946 + 0.479685i
\(345\) −0.0465371 + 0.618146i −0.00250547 + 0.0332799i
\(346\) 11.2154 19.4256i 0.602943 1.04433i
\(347\) −2.06156 + 1.19024i −0.110671 + 0.0638957i −0.554314 0.832308i \(-0.687019\pi\)
0.443643 + 0.896204i \(0.353686\pi\)
\(348\) 11.3588 5.46531i 0.608896 0.292971i
\(349\) −21.3877 −1.14486 −0.572429 0.819954i \(-0.693999\pi\)
−0.572429 + 0.819954i \(0.693999\pi\)
\(350\) −4.16200 −0.222468
\(351\) 24.0505 25.8668i 1.28372 1.38067i
\(352\) −2.56881 1.48311i −0.136918 0.0790498i
\(353\) 34.6235i 1.84282i −0.388590 0.921411i \(-0.627038\pi\)
0.388590 0.921411i \(-0.372962\pi\)
\(354\) −12.5499 8.56266i −0.667017 0.455100i
\(355\) −3.56436 2.05789i −0.189177 0.109221i
\(356\) 2.94818 + 5.10639i 0.156253 + 0.270638i
\(357\) 5.63185 + 11.7049i 0.298069 + 0.619490i
\(358\) 7.11444 + 12.3226i 0.376010 + 0.651268i
\(359\) −18.8394 + 10.8769i −0.994305 + 0.574063i −0.906558 0.422080i \(-0.861300\pi\)
−0.0877470 + 0.996143i \(0.527967\pi\)
\(360\) 2.79337 1.09411i 0.147224 0.0576644i
\(361\) −18.7765 + 2.90591i −0.988235 + 0.152942i
\(362\) 0.0364693i 0.00191679i
\(363\) 0.286271 3.80251i 0.0150254 0.199580i
\(364\) −24.5005 + 14.1454i −1.28417 + 0.741418i
\(365\) 11.5074 + 6.64377i 0.602322 + 0.347751i
\(366\) 0.491171 6.52416i 0.0256739 0.341023i
\(367\) 6.28744 10.8902i 0.328202 0.568462i −0.653953 0.756535i \(-0.726891\pi\)
0.982155 + 0.188073i \(0.0602241\pi\)
\(368\) 0.357897i 0.0186567i
\(369\) −8.34892 21.3157i −0.434628 1.10965i
\(370\) −3.07307 + 5.32272i −0.159761 + 0.276715i
\(371\) −7.30078 + 12.6453i −0.379038 + 0.656512i
\(372\) 3.48288 5.10469i 0.180579 0.264666i
\(373\) 18.8039i 0.973629i 0.873505 + 0.486815i \(0.161841\pi\)
−0.873505 + 0.486815i \(0.838159\pi\)
\(374\) 2.67237 4.62868i 0.138185 0.239343i
\(375\) −1.72716 0.130029i −0.0891903 0.00671468i
\(376\) 4.46767 + 2.57941i 0.230403 + 0.133023i
\(377\) −42.8413 + 24.7345i −2.20644 + 1.27389i
\(378\) 20.6721 6.35320i 1.06326 0.326774i
\(379\) 25.0289i 1.28565i −0.766014 0.642824i \(-0.777763\pi\)
0.766014 0.642824i \(-0.222237\pi\)
\(380\) −4.34606 + 0.334315i −0.222948 + 0.0171500i
\(381\) −6.82366 + 10.0011i −0.349587 + 0.512371i
\(382\) −19.3247 + 11.1571i −0.988737 + 0.570847i
\(383\) −2.61339 4.52653i −0.133538 0.231295i 0.791500 0.611169i \(-0.209301\pi\)
−0.925038 + 0.379874i \(0.875967\pi\)
\(384\) 1.56078 0.750973i 0.0796483 0.0383229i
\(385\) 6.17269 + 10.6914i 0.314589 + 0.544885i
\(386\) −11.5178 6.64983i −0.586243 0.338467i
\(387\) 11.2399 + 28.6968i 0.571358 + 1.45874i
\(388\) 12.9954i 0.659744i
\(389\) −20.9714 12.1078i −1.06329 0.613892i −0.136951 0.990578i \(-0.543730\pi\)
−0.926341 + 0.376686i \(0.877064\pi\)
\(390\) −10.6092 + 5.10465i −0.537219 + 0.258484i
\(391\) −0.644885 −0.0326132
\(392\) −10.3223 −0.521353
\(393\) 10.1604 + 21.1168i 0.512523 + 1.06520i
\(394\) 19.7095 11.3793i 0.992953 0.573282i
\(395\) 0.638217 1.10542i 0.0321122 0.0556199i
\(396\) −6.95342 5.55298i −0.349423 0.279048i
\(397\) 12.7295 + 22.0482i 0.638877 + 1.10657i 0.985680 + 0.168629i \(0.0539341\pi\)
−0.346803 + 0.937938i \(0.612733\pi\)
\(398\) 4.68284 0.234730
\(399\) −31.4224 + 0.0511995i −1.57309 + 0.00256318i
\(400\) −1.00000 −0.0500000
\(401\) 17.9661 + 31.1182i 0.897184 + 1.55397i 0.831079 + 0.556155i \(0.187724\pi\)
0.0661050 + 0.997813i \(0.478943\pi\)
\(402\) 1.83942 + 0.138480i 0.0917417 + 0.00690676i
\(403\) −12.1260 + 21.0028i −0.604037 + 1.04622i
\(404\) −3.25224 + 1.87768i −0.161805 + 0.0934182i
\(405\) 8.77709 1.99064i 0.436137 0.0989156i
\(406\) −30.2896 −1.50325
\(407\) 18.2308 0.903665
\(408\) 1.35316 + 2.81233i 0.0669913 + 0.139231i
\(409\) −1.54476 0.891867i −0.0763834 0.0441000i 0.461322 0.887233i \(-0.347375\pi\)
−0.537705 + 0.843133i \(0.680709\pi\)
\(410\) 7.63082i 0.376859i
\(411\) 11.9558 17.5230i 0.589736 0.864346i
\(412\) 2.22778 + 1.28621i 0.109755 + 0.0633670i
\(413\) 18.2535 + 31.6160i 0.898196 + 1.55572i
\(414\) −0.160754 + 1.06159i −0.00790064 + 0.0521742i
\(415\) 0.966883 + 1.67469i 0.0474624 + 0.0822073i
\(416\) −5.88671 + 3.39869i −0.288620 + 0.166635i
\(417\) −16.9086 11.5366i −0.828017 0.564949i
\(418\) 7.30446 + 10.6684i 0.357273 + 0.521808i
\(419\) 36.2564i 1.77124i −0.464409 0.885621i \(-0.653733\pi\)
0.464409 0.885621i \(-0.346267\pi\)
\(420\) −7.18845 0.541182i −0.350761 0.0264070i
\(421\) 4.43149 2.55852i 0.215977 0.124695i −0.388109 0.921614i \(-0.626872\pi\)
0.604086 + 0.796919i \(0.293538\pi\)
\(422\) −6.72063 3.88016i −0.327155 0.188883i
\(423\) 12.0934 + 9.65773i 0.588000 + 0.469575i
\(424\) −1.75415 + 3.03828i −0.0851891 + 0.147552i
\(425\) 1.80187i 0.0874037i
\(426\) −5.88865 4.01778i −0.285306 0.194662i
\(427\) −7.86074 + 13.6152i −0.380408 + 0.658886i
\(428\) 5.93976 10.2880i 0.287109 0.497287i
\(429\) 28.8475 + 19.6824i 1.39277 + 0.950276i
\(430\) 10.2732i 0.495416i
\(431\) −3.31613 + 5.74370i −0.159732 + 0.276664i −0.934772 0.355248i \(-0.884396\pi\)
0.775040 + 0.631912i \(0.217730\pi\)
\(432\) 4.96688 1.52648i 0.238969 0.0734427i
\(433\) −5.22804 3.01841i −0.251244 0.145056i 0.369090 0.929394i \(-0.379669\pi\)
−0.620334 + 0.784338i \(0.713003\pi\)
\(434\) −12.8599 + 7.42466i −0.617295 + 0.356395i
\(435\) −12.5697 0.946306i −0.602670 0.0453719i
\(436\) 12.8741i 0.616555i
\(437\) 0.674101 1.40688i 0.0322466 0.0673001i
\(438\) 19.0112 + 12.9712i 0.908390 + 0.619787i
\(439\) 10.6718 6.16135i 0.509336 0.294065i −0.223225 0.974767i \(-0.571658\pi\)
0.732561 + 0.680702i \(0.238325\pi\)
\(440\) 1.48311 + 2.56881i 0.0707043 + 0.122463i
\(441\) −30.6177 4.63638i −1.45799 0.220780i
\(442\) −6.12401 10.6071i −0.291290 0.504528i
\(443\) 6.05385 + 3.49519i 0.287627 + 0.166062i 0.636871 0.770970i \(-0.280228\pi\)
−0.349244 + 0.937032i \(0.613562\pi\)
\(444\) −5.99980 + 8.79361i −0.284738 + 0.417326i
\(445\) 5.89635i 0.279514i
\(446\) 23.7955 + 13.7383i 1.12675 + 0.650529i
\(447\) −5.40619 11.2359i −0.255704 0.531441i
\(448\) −4.16200 −0.196636
\(449\) 31.4802 1.48564 0.742820 0.669491i \(-0.233488\pi\)
0.742820 + 0.669491i \(0.233488\pi\)
\(450\) −2.96618 0.449163i −0.139827 0.0211738i
\(451\) 19.6022 11.3173i 0.923030 0.532912i
\(452\) −1.57384 + 2.72597i −0.0740273 + 0.128219i
\(453\) 19.2190 + 1.44690i 0.902988 + 0.0679813i
\(454\) 12.9280 + 22.3919i 0.606739 + 1.05090i
\(455\) 28.2907 1.32629
\(456\) −7.54982 + 0.0123016i −0.353553 + 0.000576077i
\(457\) −29.5618 −1.38284 −0.691421 0.722452i \(-0.743015\pi\)
−0.691421 + 0.722452i \(0.743015\pi\)
\(458\) 2.80280 + 4.85459i 0.130966 + 0.226840i
\(459\) 2.75052 + 8.94968i 0.128383 + 0.417735i
\(460\) 0.178948 0.309948i 0.00834352 0.0144514i
\(461\) −12.9506 + 7.47702i −0.603169 + 0.348240i −0.770287 0.637697i \(-0.779887\pi\)
0.167118 + 0.985937i \(0.446554\pi\)
\(462\) 9.27104 + 19.2684i 0.431328 + 0.896449i
\(463\) −16.7492 −0.778401 −0.389200 0.921153i \(-0.627249\pi\)
−0.389200 + 0.921153i \(0.627249\pi\)
\(464\) −7.27764 −0.337856
\(465\) −5.56861 + 2.67935i −0.258238 + 0.124252i
\(466\) −22.6080 13.0528i −1.04730 0.604657i
\(467\) 22.2847i 1.03121i 0.856825 + 0.515607i \(0.172434\pi\)
−0.856825 + 0.515607i \(0.827566\pi\)
\(468\) −18.9876 + 7.43705i −0.877703 + 0.343778i
\(469\) −3.83866 2.21625i −0.177253 0.102337i
\(470\) −2.57941 4.46767i −0.118979 0.206078i
\(471\) −33.5144 + 16.1255i −1.54426 + 0.743025i
\(472\) 4.38575 + 7.59635i 0.201871 + 0.349650i
\(473\) −26.3899 + 15.2362i −1.21341 + 0.700561i
\(474\) 1.24604 1.82626i 0.0572326 0.0838829i
\(475\) 3.93096 + 1.88350i 0.180365 + 0.0864211i
\(476\) 7.49940i 0.343734i
\(477\) −6.56782 + 8.22420i −0.300720 + 0.376560i
\(478\) 20.7353 11.9715i 0.948410 0.547565i
\(479\) −24.3132 14.0372i −1.11090 0.641377i −0.171836 0.985126i \(-0.554970\pi\)
−0.939062 + 0.343748i \(0.888303\pi\)
\(480\) −1.72716 0.130029i −0.0788338 0.00593500i
\(481\) 20.8888 36.1805i 0.952449 1.64969i
\(482\) 8.62478i 0.392848i
\(483\) 1.45410 2.13120i 0.0661639 0.0969731i
\(484\) −1.10080 + 1.90663i −0.0500362 + 0.0866652i
\(485\) 6.49772 11.2544i 0.295046 0.511035i
\(486\) 15.4183 2.29688i 0.699389 0.104188i
\(487\) 1.65303i 0.0749058i 0.999298 + 0.0374529i \(0.0119244\pi\)
−0.999298 + 0.0374529i \(0.988076\pi\)
\(488\) −1.88869 + 3.27131i −0.0854971 + 0.148085i
\(489\) −2.52747 + 33.5721i −0.114296 + 1.51818i
\(490\) 8.93933 + 5.16113i 0.403838 + 0.233156i
\(491\) −1.30505 + 0.753470i −0.0588960 + 0.0340036i −0.529159 0.848523i \(-0.677492\pi\)
0.470263 + 0.882526i \(0.344159\pi\)
\(492\) −0.992230 + 13.1797i −0.0447332 + 0.594186i
\(493\) 13.1134i 0.590597i
\(494\) 29.5418 2.27247i 1.32915 0.102243i
\(495\) 3.24535 + 8.28573i 0.145868 + 0.372416i
\(496\) −3.08983 + 1.78392i −0.138738 + 0.0801002i
\(497\) 8.56493 + 14.8349i 0.384190 + 0.665436i
\(498\) 1.45221 + 3.01819i 0.0650749 + 0.135248i
\(499\) 10.7116 + 18.5530i 0.479517 + 0.830549i 0.999724 0.0234919i \(-0.00747840\pi\)
−0.520207 + 0.854040i \(0.674145\pi\)
\(500\) 0.866025 + 0.500000i 0.0387298 + 0.0223607i
\(501\) −8.13289 5.54900i −0.363351 0.247911i
\(502\) 13.1810i 0.588299i
\(503\) 10.8329 + 6.25439i 0.483016 + 0.278869i 0.721672 0.692235i \(-0.243374\pi\)
−0.238657 + 0.971104i \(0.576707\pi\)
\(504\) −12.3453 1.86942i −0.549902 0.0832705i
\(505\) 3.75536 0.167111
\(506\) −1.06160 −0.0471938
\(507\) 51.8249 24.9356i 2.30162 1.10743i
\(508\) 6.05360 3.49505i 0.268585 0.155068i
\(509\) −12.4948 + 21.6415i −0.553820 + 0.959245i 0.444174 + 0.895941i \(0.353497\pi\)
−0.997994 + 0.0633042i \(0.979836\pi\)
\(510\) 0.234296 3.11213i 0.0103748 0.137807i
\(511\) −27.6514 47.8936i −1.22323 2.11869i
\(512\) −1.00000 −0.0441942
\(513\) −22.3997 3.35462i −0.988971 0.148110i
\(514\) 26.6400 1.17504
\(515\) −1.28621 2.22778i −0.0566771 0.0981677i
\(516\) 1.33581 17.7434i 0.0588059 0.781112i
\(517\) −7.65108 + 13.2521i −0.336494 + 0.582825i
\(518\) 22.1531 12.7901i 0.973353 0.561966i
\(519\) −35.0095 + 16.8449i −1.53675 + 0.739409i
\(520\) 6.79738 0.298085
\(521\) −28.9838 −1.26980 −0.634902 0.772593i \(-0.718959\pi\)
−0.634902 + 0.772593i \(0.718959\pi\)
\(522\) −21.5868 3.26885i −0.944830 0.143074i
\(523\) 36.7094 + 21.1942i 1.60519 + 0.926756i 0.990426 + 0.138044i \(0.0440816\pi\)
0.614763 + 0.788712i \(0.289252\pi\)
\(524\) 13.5296i 0.591044i
\(525\) 5.95479 + 4.06290i 0.259888 + 0.177320i
\(526\) −20.1068 11.6087i −0.876700 0.506163i
\(527\) −3.21439 5.56749i −0.140021 0.242524i
\(528\) 2.22754 + 4.62961i 0.0969414 + 0.201478i
\(529\) −11.4360 19.8077i −0.497215 0.861202i
\(530\) 3.03828 1.75415i 0.131974 0.0761955i
\(531\) 9.59695 + 24.5021i 0.416472 + 1.06330i
\(532\) 16.3606 + 7.83915i 0.709324 + 0.339870i
\(533\) 51.8696i 2.24672i
\(534\) 0.766699 10.1840i 0.0331783 0.440703i
\(535\) −10.2880 + 5.93976i −0.444787 + 0.256798i
\(536\) −0.922310 0.532496i −0.0398377 0.0230003i
\(537\) 1.85017 24.5756i 0.0798408 1.06052i
\(538\) 2.52385 4.37144i 0.108811 0.188466i
\(539\) 30.6180i 1.31881i
\(540\) −5.06468 1.16147i −0.217949 0.0499817i
\(541\) 7.78025 13.4758i 0.334499 0.579369i −0.648890 0.760883i \(-0.724766\pi\)
0.983388 + 0.181513i \(0.0580996\pi\)
\(542\) −4.52551 + 7.83842i −0.194387 + 0.336689i
\(543\) 0.0356010 0.0521786i 0.00152779 0.00223920i
\(544\) 1.80187i 0.0772547i
\(545\) −6.43703 + 11.1493i −0.275732 + 0.477582i
\(546\) 48.8627 + 3.67862i 2.09113 + 0.157430i
\(547\) 34.8985 + 20.1487i 1.49215 + 0.861495i 0.999960 0.00899064i \(-0.00286185\pi\)
0.492194 + 0.870486i \(0.336195\pi\)
\(548\) −10.6066 + 6.12370i −0.453090 + 0.261592i
\(549\) −7.07157 + 8.85499i −0.301807 + 0.377922i
\(550\) 2.96621i 0.126480i
\(551\) 28.6081 + 13.7075i 1.21875 + 0.583958i
\(552\) 0.349376 0.512062i 0.0148704 0.0217948i
\(553\) −4.60077 + 2.65626i −0.195645 + 0.112956i
\(554\) −2.66778 4.62074i −0.113343 0.196316i
\(555\) 9.59279 4.61559i 0.407191 0.195921i
\(556\) 5.90898 + 10.2347i 0.250597 + 0.434046i
\(557\) 9.13519 + 5.27420i 0.387070 + 0.223475i 0.680890 0.732386i \(-0.261593\pi\)
−0.293820 + 0.955861i \(0.594927\pi\)
\(558\) −9.96629 + 3.90358i −0.421907 + 0.165252i
\(559\) 69.8307i 2.95352i
\(560\) 3.60440 + 2.08100i 0.152314 + 0.0879383i
\(561\) −8.34197 + 4.01375i −0.352198 + 0.169461i
\(562\) 13.6990 0.577857
\(563\) 40.4508 1.70480 0.852399 0.522892i \(-0.175147\pi\)
0.852399 + 0.522892i \(0.175147\pi\)
\(564\) −3.87414 8.05180i −0.163131 0.339042i
\(565\) 2.72597 1.57384i 0.114683 0.0662120i
\(566\) −0.398146 + 0.689610i −0.0167353 + 0.0289864i
\(567\) −35.7787 11.0901i −1.50256 0.465740i
\(568\) 2.05789 + 3.56436i 0.0863470 + 0.149557i
\(569\) 34.8214 1.45979 0.729895 0.683559i \(-0.239569\pi\)
0.729895 + 0.683559i \(0.239569\pi\)
\(570\) 6.54449 + 3.76426i 0.274119 + 0.157667i
\(571\) 4.64987 0.194591 0.0972956 0.995256i \(-0.468981\pi\)
0.0972956 + 0.995256i \(0.468981\pi\)
\(572\) −10.0812 17.4612i −0.421518 0.730090i
\(573\) 38.5403 + 2.90150i 1.61004 + 0.121212i
\(574\) 15.8797 27.5045i 0.662808 1.14802i
\(575\) −0.309948 + 0.178948i −0.0129257 + 0.00746267i
\(576\) −2.96618 0.449163i −0.123591 0.0187151i
\(577\) 27.5262 1.14593 0.572966 0.819579i \(-0.305793\pi\)
0.572966 + 0.819579i \(0.305793\pi\)
\(578\) −13.7533 −0.572060
\(579\) 9.98768 + 20.7579i 0.415074 + 0.862667i
\(580\) 6.30262 + 3.63882i 0.261702 + 0.151094i
\(581\) 8.04833i 0.333901i
\(582\) 12.6860 18.5933i 0.525853 0.770716i
\(583\) −9.01218 5.20318i −0.373246 0.215494i
\(584\) −6.64377 11.5074i −0.274921 0.476178i
\(585\) 20.1623 + 3.05314i 0.833608 + 0.126232i
\(586\) 11.8911 + 20.5960i 0.491218 + 0.850815i
\(587\) −8.13311 + 4.69565i −0.335689 + 0.193810i −0.658364 0.752700i \(-0.728751\pi\)
0.322675 + 0.946510i \(0.395418\pi\)
\(588\) 14.7686 + 10.0765i 0.609046 + 0.415547i
\(589\) 15.5060 1.19278i 0.638914 0.0491476i
\(590\) 8.77151i 0.361117i
\(591\) −39.3079 2.95929i −1.61691 0.121729i
\(592\) 5.32272 3.07307i 0.218762 0.126302i
\(593\) −4.48680 2.59046i −0.184251 0.106377i 0.405037 0.914300i \(-0.367258\pi\)
−0.589288 + 0.807923i \(0.700592\pi\)
\(594\) 4.52786 + 14.7328i 0.185780 + 0.604494i
\(595\) −3.74970 + 6.49467i −0.153723 + 0.266256i
\(596\) 7.19891i 0.294879i
\(597\) −6.69999 4.57135i −0.274212 0.187093i
\(598\) −1.21638 + 2.10683i −0.0497415 + 0.0861549i
\(599\) −8.35558 + 14.4723i −0.341400 + 0.591322i −0.984693 0.174298i \(-0.944234\pi\)
0.643293 + 0.765620i \(0.277568\pi\)
\(600\) 1.43075 + 0.976190i 0.0584102 + 0.0398528i
\(601\) 34.8345i 1.42093i −0.703734 0.710464i \(-0.748485\pi\)
0.703734 0.710464i \(-0.251515\pi\)
\(602\) −21.3785 + 37.0286i −0.871322 + 1.50917i
\(603\) −2.49657 1.99375i −0.101668 0.0811918i
\(604\) −9.63670 5.56375i −0.392112 0.226386i
\(605\) 1.90663 1.10080i 0.0775157 0.0447537i
\(606\) 6.48612 + 0.488307i 0.263481 + 0.0198361i
\(607\) 0.510275i 0.0207114i −0.999946 0.0103557i \(-0.996704\pi\)
0.999946 0.0103557i \(-0.00329639\pi\)
\(608\) 3.93096 + 1.88350i 0.159421 + 0.0763862i
\(609\) 43.3369 + 29.5684i 1.75610 + 1.19817i
\(610\) 3.27131 1.88869i 0.132452 0.0764710i
\(611\) 17.5333 + 30.3685i 0.709320 + 1.22858i
\(612\) 0.809336 5.34469i 0.0327155 0.216046i
\(613\) −1.27998 2.21700i −0.0516980 0.0895436i 0.839018 0.544103i \(-0.183130\pi\)
−0.890716 + 0.454560i \(0.849797\pi\)
\(614\) −7.52401 4.34399i −0.303644 0.175309i
\(615\) 7.44913 10.9178i 0.300378 0.440249i
\(616\) 12.3454i 0.497409i
\(617\) 4.50617 + 2.60164i 0.181412 + 0.104738i 0.587956 0.808893i \(-0.299933\pi\)
−0.406544 + 0.913631i \(0.633266\pi\)
\(618\) −1.93182 4.01498i −0.0777090 0.161506i
\(619\) 0.708705 0.0284853 0.0142426 0.999899i \(-0.495466\pi\)
0.0142426 + 0.999899i \(0.495466\pi\)
\(620\) 3.56783 0.143288
\(621\) 1.26631 1.36194i 0.0508153 0.0546529i
\(622\) 16.8527 9.72990i 0.675731 0.390133i
\(623\) −12.2703 + 21.2528i −0.491600 + 0.851476i
\(624\) 11.7402 + 0.883859i 0.469984 + 0.0353827i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −14.0508 −0.561581
\(627\) −0.0364893 22.3944i −0.00145724 0.894345i
\(628\) 21.4728 0.856860
\(629\) 5.53729 + 9.59086i 0.220786 + 0.382413i
\(630\) 9.75660 + 7.79160i 0.388712 + 0.310425i
\(631\) −1.98291 + 3.43450i −0.0789383 + 0.136725i −0.902792 0.430077i \(-0.858486\pi\)
0.823854 + 0.566802i \(0.191820\pi\)
\(632\) −1.10542 + 0.638217i −0.0439714 + 0.0253869i
\(633\) 5.82779 + 12.1122i 0.231634 + 0.481415i
\(634\) 13.1654 0.522866
\(635\) −6.99009 −0.277393
\(636\) 5.47569 2.63464i 0.217125 0.104470i
\(637\) −60.7641 35.0822i −2.40756 1.39001i
\(638\) 21.5870i 0.854638i
\(639\) 4.50309 + 11.4969i 0.178140 + 0.454810i
\(640\) 0.866025 + 0.500000i 0.0342327 + 0.0197642i
\(641\) 13.4779 + 23.3444i 0.532345 + 0.922048i 0.999287 + 0.0377601i \(0.0120223\pi\)
−0.466942 + 0.884288i \(0.654644\pi\)
\(642\) −18.5413 + 8.92120i −0.731768 + 0.352092i
\(643\) 19.5490 + 33.8598i 0.770936 + 1.33530i 0.937050 + 0.349195i \(0.113545\pi\)
−0.166114 + 0.986107i \(0.553122\pi\)
\(644\) −1.29000 + 0.744784i −0.0508333 + 0.0293486i
\(645\) −10.0286 + 14.6984i −0.394875 + 0.578748i
\(646\) −3.39384 + 7.08308i −0.133529 + 0.278680i
\(647\) 25.0967i 0.986652i 0.869844 + 0.493326i \(0.164219\pi\)
−0.869844 + 0.493326i \(0.835781\pi\)
\(648\) −8.59650 2.66460i −0.337703 0.104676i
\(649\) −22.5324 + 13.0091i −0.884473 + 0.510651i
\(650\) −5.88671 3.39869i −0.230896 0.133308i
\(651\) 25.6472 + 1.93085i 1.00519 + 0.0756758i
\(652\) 9.71885 16.8335i 0.380620 0.659253i
\(653\) 26.7637i 1.04734i 0.851920 + 0.523672i \(0.175438\pi\)
−0.851920 + 0.523672i \(0.824562\pi\)
\(654\) −12.5675 + 18.4196i −0.491429 + 0.720263i
\(655\) −6.76481 + 11.7170i −0.264323 + 0.457821i
\(656\) 3.81541 6.60849i 0.148967 0.258018i
\(657\) −14.5380 37.1171i −0.567181 1.44808i
\(658\) 21.4710i 0.837028i
\(659\) 4.82716 8.36088i 0.188039 0.325694i −0.756557 0.653928i \(-0.773120\pi\)
0.944596 + 0.328234i \(0.106453\pi\)
\(660\) 0.385694 5.12313i 0.0150131 0.199418i
\(661\) 12.4152 + 7.16792i 0.482895 + 0.278800i 0.721622 0.692287i \(-0.243397\pi\)
−0.238727 + 0.971087i \(0.576730\pi\)
\(662\) −3.81697 + 2.20373i −0.148351 + 0.0856503i
\(663\) −1.59260 + 21.1543i −0.0618515 + 0.821566i
\(664\) 1.93377i 0.0750447i
\(665\) −10.2492 14.9692i −0.397445 0.580482i
\(666\) 17.1685 6.72453i 0.665265 0.260570i
\(667\) −2.25569 + 1.30232i −0.0873407 + 0.0504262i
\(668\) 2.84217 + 4.92279i 0.109967 + 0.190468i
\(669\) −20.6342 42.8851i −0.797766 1.65803i
\(670\) 0.532496 + 0.922310i 0.0205721 + 0.0356320i
\(671\) −9.70340 5.60226i −0.374596 0.216273i
\(672\) 5.95479 + 4.06290i 0.229711 + 0.156730i
\(673\) 2.57499i 0.0992586i 0.998768 + 0.0496293i \(0.0158040\pi\)
−0.998768 + 0.0496293i \(0.984196\pi\)
\(674\) −4.81309 2.77884i −0.185393 0.107037i
\(675\) 3.80541 + 3.53820i 0.146470 + 0.136185i
\(676\) −33.2044 −1.27709
\(677\) −25.1278 −0.965739 −0.482870 0.875692i \(-0.660406\pi\)
−0.482870 + 0.875692i \(0.660406\pi\)
\(678\) 4.91284 2.36382i 0.188677 0.0907821i
\(679\) −46.8408 + 27.0435i −1.79758 + 1.03784i
\(680\) −0.900937 + 1.56047i −0.0345493 + 0.0598412i
\(681\) 3.36203 44.6574i 0.128833 1.71127i
\(682\) −5.29147 9.16510i −0.202621 0.350950i
\(683\) 17.1516 0.656289 0.328145 0.944627i \(-0.393577\pi\)
0.328145 + 0.944627i \(0.393577\pi\)
\(684\) 10.8139 + 7.35246i 0.413481 + 0.281128i
\(685\) 12.2474 0.467949
\(686\) −6.91361 11.9747i −0.263963 0.457197i
\(687\) 0.728892 9.68178i 0.0278090 0.369383i
\(688\) −5.13659 + 8.89683i −0.195831 + 0.339188i
\(689\) −20.6523 + 11.9236i −0.786792 + 0.454254i
\(690\) −0.558599 + 0.268771i −0.0212655 + 0.0102319i
\(691\) −19.5888 −0.745193 −0.372597 0.927993i \(-0.621532\pi\)
−0.372597 + 0.927993i \(0.621532\pi\)
\(692\) 22.4308 0.852690
\(693\) 5.54509 36.6187i 0.210641 1.39103i
\(694\) −2.06156 1.19024i −0.0782559 0.0451811i
\(695\) 11.8180i 0.448281i
\(696\) 10.4125 + 7.10436i 0.394685 + 0.269290i
\(697\) 11.9077 + 6.87489i 0.451035 + 0.260405i
\(698\) −10.6939 18.5223i −0.404769 0.701080i
\(699\) 19.6045 + 40.7450i 0.741512 + 1.54112i
\(700\) −2.08100 3.60440i −0.0786544 0.136233i
\(701\) 26.3609 15.2194i 0.995636 0.574831i 0.0886817 0.996060i \(-0.471735\pi\)
0.906954 + 0.421229i \(0.138401\pi\)
\(702\) 34.4266 + 7.89495i 1.29935 + 0.297976i
\(703\) −26.7115 + 2.05475i −1.00744 + 0.0774963i
\(704\) 2.96621i 0.111793i
\(705\) −0.670798 + 8.91013i −0.0252637 + 0.335575i
\(706\) 29.9848 17.3117i 1.12849 0.651536i
\(707\) −13.5358 7.81491i −0.509067 0.293910i
\(708\) 1.14055 15.1498i 0.0428646 0.569365i
\(709\) 4.75537 8.23654i 0.178592 0.309330i −0.762807 0.646626i \(-0.776179\pi\)
0.941398 + 0.337297i \(0.109513\pi\)
\(710\) 4.11577i 0.154462i
\(711\) −3.56555 + 1.39655i −0.133719 + 0.0523748i
\(712\) −2.94818 + 5.10639i −0.110488 + 0.191370i
\(713\) −0.638458 + 1.10584i −0.0239104 + 0.0414141i
\(714\) −7.32084 + 10.7298i −0.273976 + 0.401552i
\(715\) 20.1625i 0.754034i
\(716\) −7.11444 + 12.3226i −0.265879 + 0.460516i
\(717\) −41.3536 3.11330i −1.54438 0.116268i
\(718\) −18.8394 10.8769i −0.703080 0.405924i
\(719\) 34.4372 19.8823i 1.28429 0.741485i 0.306660 0.951819i \(-0.400788\pi\)
0.977630 + 0.210334i \(0.0674551\pi\)
\(720\) 2.34421 + 1.87208i 0.0873635 + 0.0697683i
\(721\) 10.7064i 0.398727i
\(722\) −11.9048 14.8079i −0.443052 0.551095i
\(723\) −8.41943 + 12.3399i −0.313122 + 0.458927i
\(724\) −0.0315834 + 0.0182347i −0.00117379 + 0.000677686i
\(725\) −3.63882 6.30262i −0.135142 0.234074i
\(726\) 3.43620 1.65334i 0.127530 0.0613611i
\(727\) 10.4980 + 18.1831i 0.389350 + 0.674374i 0.992362 0.123358i \(-0.0393664\pi\)
−0.603012 + 0.797732i \(0.706033\pi\)
\(728\) −24.5005 14.1454i −0.908048 0.524262i
\(729\) −24.3020 11.7649i −0.900073 0.435739i
\(730\) 13.2875i 0.491794i
\(731\) −16.0310 9.25548i −0.592926 0.342326i
\(732\) 5.89568 2.83672i 0.217910 0.104848i
\(733\) 9.50251 0.350983 0.175492 0.984481i \(-0.443849\pi\)
0.175492 + 0.984481i \(0.443849\pi\)
\(734\) 12.5749 0.464147
\(735\) −7.75173 16.1108i −0.285927 0.594255i
\(736\) −0.309948 + 0.178948i −0.0114248 + 0.00659613i
\(737\) 1.57950 2.73577i 0.0581815 0.100773i
\(738\) 14.2855 17.8882i 0.525857 0.658476i
\(739\) −14.5149 25.1405i −0.533939 0.924809i −0.999214 0.0396431i \(-0.987378\pi\)
0.465275 0.885166i \(-0.345955\pi\)
\(740\) −6.14614 −0.225937
\(741\) −44.4854 25.5871i −1.63421 0.939966i
\(742\) −14.6016 −0.536040
\(743\) 4.08693 + 7.07877i 0.149935 + 0.259695i 0.931203 0.364500i \(-0.118760\pi\)
−0.781268 + 0.624195i \(0.785427\pi\)
\(744\) 6.16223 + 0.463923i 0.225918 + 0.0170082i
\(745\) 3.59946 6.23444i 0.131874 0.228412i
\(746\) −16.2847 + 9.40195i −0.596224 + 0.344230i
\(747\) 0.868577 5.73591i 0.0317796 0.209866i
\(748\) 5.34474 0.195423
\(749\) 49.4426 1.80659
\(750\) −0.750973 1.56078i −0.0274217 0.0569917i
\(751\) 0.510899 + 0.294967i 0.0186430 + 0.0107635i 0.509293 0.860593i \(-0.329907\pi\)
−0.490650 + 0.871357i \(0.663240\pi\)
\(752\) 5.15882i 0.188123i
\(753\) −12.8672 + 18.8588i −0.468907 + 0.687253i
\(754\) −42.8413 24.7345i −1.56019 0.900776i
\(755\) 5.56375 + 9.63670i 0.202486 + 0.350715i
\(756\) 15.8381 + 14.7260i 0.576026 + 0.535580i
\(757\) −1.45489 2.51995i −0.0528791 0.0915892i 0.838374 0.545095i \(-0.183506\pi\)
−0.891253 + 0.453506i \(0.850173\pi\)
\(758\) 21.6757 12.5144i 0.787295 0.454545i
\(759\) 1.51888 + 1.03632i 0.0551320 + 0.0376161i
\(760\) −2.46256 3.59664i −0.0893263 0.130464i
\(761\) 30.5864i 1.10876i 0.832264 + 0.554379i \(0.187044\pi\)
−0.832264 + 0.554379i \(0.812956\pi\)
\(762\) −12.0730 0.908916i −0.437360 0.0329266i
\(763\) 46.4032 26.7909i 1.67991 0.969896i
\(764\) −19.3247 11.1571i −0.699142 0.403650i
\(765\) −3.37325 + 4.22397i −0.121960 + 0.152718i
\(766\) 2.61339 4.52653i 0.0944258 0.163550i
\(767\) 59.6233i 2.15287i
\(768\) 1.43075 + 0.976190i 0.0516278 + 0.0352252i
\(769\) 12.2534 21.2235i 0.441869 0.765339i −0.555959 0.831209i \(-0.687649\pi\)
0.997828 + 0.0658703i \(0.0209824\pi\)
\(770\) −6.17269 + 10.6914i −0.222448 + 0.385292i
\(771\) −38.1153 26.0057i −1.37269 0.936573i
\(772\) 13.2997i 0.478665i
\(773\) 18.2611 31.6291i 0.656805 1.13762i −0.324632 0.945840i \(-0.605241\pi\)
0.981438 0.191780i \(-0.0614261\pi\)
\(774\) −19.2322 + 24.0825i −0.691287 + 0.865626i
\(775\) −3.08983 1.78392i −0.110990 0.0640802i